Acu, Ana-MariaAcar, TuncerMuraru, Carmen-VioletaRadu, Voichita Adriana2020-03-262020-03-262019Acu, A. M., Acar, T., Muraru, C. V., Radu, V. A. (2019). Some Approximation Properties by a Class of Bivariate Operators. Mathematical Methods in the Applied Sciences, 42(16), 5551-5565.0170-42141099-1476https://dx.doi.org/10.1002/mma.5515https://hdl.handle.net/20.500.12395/38203Starting with the well-known Bernstein operators, in the present paper, we give a new generalization of the bivariate type. The approximation properties of this new class of bivariate operators are studied. Also, the extension of the proposed operators, namely, the generalized Boolean sum (GBS) in the Bogel space of continuous functions is given. In order to underline the fact that in this particular case, GBS operator has better order of convergence than the original ones, some numerical examples are provided with the aid of Maple soft. Also, the error of approximation for the modified Bernstein operators and its GBS-type operator are compared.en10.1002/mma.5515info:eu-repo/semantics/openAccessBernstein operatorsGBS-type operatorsmodulus of continuityArticle421655515565Q1WOS:000503431300041Q2